77468350752 has 180 divisors, whose sum is σ = 246707341650. Its totient is φ = 23836280832.

The previous prime is 77468350741. The next prime is 77468350759. The reversal of 77468350752 is 25705386477.

It is a happy number.

77468350752 is a `hidden beast` number, since 7 + 7 + 4 + 6 + 83 + 507 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56095080336 + 21373270416 = 236844^2 + 146196^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77468350759) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 349624 + ... + 526472.

Almost surely, 2^77468350752 is an apocalyptic number.

77468350752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77468350752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123353670825).

77468350752 is an abundant number, since it is smaller than the sum of its proper divisors (169238990898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77468350752 is a wasteful number, since it uses less digits than its factorization.

77468350752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176897 (or 176867 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 77468350752 in words is "seventy-seven billion, four hundred sixty-eight million, three hundred fifty thousand, seven hundred fifty-two".